Shape Machine is a new computational technology that fundamentally redefines the way shapes are represented, indexed, queried and operated upon. The technology solves the problem of shape matching in vector graphics for lines and arcs and for the complete range of the geometries used in geometrical modeling in CAD systems, and more broadly, generalizes the Find and Replace operators in Word processing to Geometry processing - for any type of shapes and arrangements of shapes and for different conventions of visual matching.